QUESTION 1 (25 MARKS) a) Construct an annuity table showing the deposits, interests, and balances for the saving plan below (compulsory to show the working steps to get the interest value): $350 is invested in an increasing annuity at the end of every 6 months for 3 years. The account pays 10.25% interest rate compounded semiannually. Period Beginning Interest Deposit Ending balance (Every 6 months) Balance 1 S0.00 $0.00 $350.00 $350.00 2 3 4 5 6 (Copy this table to your answer script) (12 marks) b) A decreasing annuity account pays 35% interest rate, compounded quarterly. Withdrawals of $200 per quarter are made for 4 years. Calculate i) the present value of the account. (3 marks) ii) the total amount withdrawn for 4 years. (2 marks) 111) the total interest earned from the account (2 marks) How long will it take for a sum of money lent at 5.70% simple interest become double of itself? (Round off your answer to the nearest year). (3 marks) d) Sofea is saving for the down-payment on a house and plans to buy the house in 3 years. How much would she need to invest in an account that pays 15% compounded monthly to have $30,000 for the down-payment